Congruent Triangles

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Question 20

$XYZ\,$ is a triangle. $ZBAC\,$ is a parallelogram such that $A\,$ is the midpoint of $X Y$ , $B\,$ is the midpoint of $X Z$ , and $C\,$ is the midpoint of $Y Z$ .

Diagram of triangle XYZ with midpoints A, B, and C.

Prove that triangle $XAB\,$ is congruent to triangle $A Y C$ .

[4]

Congruent Triangles

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

Question 20

$XYZ\,$ is a triangle. $ZBAC\,$ is a parallelogram such that $A\,$ is the midpoint of $X Y$ , $B\,$ is the midpoint of $X Z$ , and $C\,$ is the midpoint of $Y Z$ .

Diagram of triangle XYZ with midpoints A, B, and C.

Prove that triangle $XAB\,$ is congruent to triangle $A Y C$ .

[4]

Congruent Triangles

Question 20

Congruent Triangles Questions

Congruent Triangles

Question 20

Congruent Triangles Questions